The ratio of the numbers is 5 : 3 and the numbers are 10 and 6.
Given data:
The first number is x and the second number is y.
The ratio of the two numbers is 5 to 3, which can be expressed as x/y = 5/3.
The sum of the numbers is 16, which can be expressed as x + y = 16.
From the ratio x/y = 5/3:
3x = 5y (equation 1)
From the sum x + y = 16:
x = 16 - y (equation 2)
Now , substitute equation 2 into equation 1 to solve for y:
3(16 - y) = 5y
48 - 3y = 5y
48 = 8y
y = 48/8
y = 6
Substituting the value of y back into equation 2:
x = 16 - y
x = 16 - 6
x = 10
Hence, the numbers are x = 10 and y = 6.
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y=-x^2-2x+7